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Some results in the Wadge hierarchy of Borel sets

from PART III - WADGE DEGREES AND POINTCLASSES

Published online by Cambridge University Press:  05 December 2011

By
Alain Louveau
Edited by
Alexander S. Kechris ,
Benedikt Löwe  and
John R. Steel
Alexander S. Kechris
Affiliation:
California Institute of Technology, Pasadena
Benedikt Löwe
Affiliation:
Universiteit van Amsterdam
John R. Steel
Affiliation:
University of California, Berkeley
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Wadge Degrees and Projective Ordinals , pp. 47 - 73
Publisher: Cambridge University Press
Print publication year: 2011

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References

John, Thomas [Joh86] Recursion in Kolmogorov's R-operator and the ordinal σ3 , The Journal of Symbolic Logic, vol. 51 (1986), no. 1, pp. 1–11.CrossRefGoogle Scholar
Kechris, Alexander S. and Moschovakis, Yiannis N. [Cabal i] Cabal seminar 76–77, Lecture Notes in Mathematics, no. 689, Berlin, Springer, 1978.CrossRefGoogle Scholar
Kuratowski, Kazimierz [Kur66] Topology, vol. 1, Academic Press, New York and London, 1966.Google Scholar
Louveau, Alain [Lou80] A separation theorem for sets, Transactions of the American Mathematical Society, vol. 260 (1980), no. 2, pp. 363–378.Google Scholar
Martin, Donald A. [Mar73] The Wadge degrees are wellordered, unpublished, 1973.Google Scholar
Martin, Donald A. [Mar75] Borel determinacy, Annals of Mathematics, vol. 102 (1975), no. 2, pp. 363–371.CrossRefGoogle Scholar
Steel, John R. [Ste81B] Determinateness and the separation property, The Journal of Symbolic Logic, vol. 46 (1981), no. 1, pp. 41–44.CrossRefGoogle Scholar
Wesep, Robert Van [Van78B] Wadge degrees and descriptive set theory, this volume, originally published in Kechris and Moschovakis [Cabal i], pp. 151–170.Google Scholar
Wadge, William W. [Wad84] Reducibility and determinateness on the Baire space, Ph.D. thesis, University of California, Berkeley, 1984.Google Scholar

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